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Finding the Third Proportional to 1,222,316,048.25 and 2,647,694,709

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Solution

The third proportional to 1,222,316,048.25 and 2,647,694,709 is: 5,735,249,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,316,048.25 : 2,647,694,709 = 2,647,694,709 : x
  2. Step 2: Convert to fraction form
    1,222,316,048.25/2,647,694,709 = 2,647,694,709/x
  3. Step 3: Cross multiply
    1,222,316,048.25x = 2,647,694,709 × 2,647,694,709
  4. Step 4: Simplify right side
    1,222,316,048.25x = 7,010,287,272,066,594,816
  5. Step 5: Solve for x
    x = 7,010,287,272,066,594,816/1,222,316,048.25
  6. Step 6: Final answer
    x = 5,735,249,309.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.